16. At the end of Section 8.3, we asked you to consider how the location of Student 26 would affect the placement of the regression line in Figure 8.4.

(a) Imagine you deleted this case, recalculated intercept and slope, and drew in the new regression line. Where do you think the new line would lie relative to the original regression line? Why? (Refer to the least-squares criterion.)

(b) How should the removal of Student 26 affect the magnitude of the intercept? the slope?

(c) With Student 26 removed, the relevant summary statistics are X 69 45, SX 9 68, Y 100 83, SY 14 38, r 79. Calculate the new intercept and slope.

(d) As accurately as possible, draw in the new regression line using the figure below

(from which Student 26 has been deleted). How does the result compare with your response to Problems 16a and 16b?